86215248720 has 160 divisors (see below), whose sum is σ = 297117590400. Its totient is φ = 22978814976.

The previous prime is 86215248677. The next prime is 86215248761. The reversal of 86215248720 is 2784251268.

86215248720 is a `hidden beast` number, since 8 + 6 + 21 + 524 + 87 + 20 = 666.

It is a super-2 number, since 2×86215248720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4641211 + ... + 4659749.

It is an arithmetic number, because the mean of its divisors is an integer number (1856984940).

Almost surely, 2^86215248720 is an apocalyptic number.

86215248720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86215248720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148558795200).

86215248720 is an abundant number, since it is smaller than the sum of its proper divisors (210902341680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86215248720 is a wasteful number, since it uses less digits than its factorization.

86215248720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20714 (or 20702 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

Adding to 86215248720 its reverse (2784251268), we get a palindrome (88999499988).

The spelling of 86215248720 in words is "eighty-six billion, two hundred fifteen million, two hundred forty-eight thousand, seven hundred twenty".